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Finding the Fourth Proportional to 512,920.64, 769,284.32 and 138,894.40

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Solution

The fourth proportional to 512,920.64, 769,284.32 and 138,894.40 is: 208,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,920.64 : 769,284.32 = 138,894.40 : x
  2. Step 2: Convert to fraction form
    512,920.64/769,284.32 = 138,894.40/x
  3. Step 3: Cross multiply
    512,920.64x = 769,284.32 × 138,894.40
  4. Step 4: Simplify right side
    512,920.64x = 106,849,284,055.81
  5. Step 5: Solve for x
    x = 106,849,284,055.81/512,920.64
  6. Step 6: Final answer
    x = 208,315.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.